(VAR f x xs y z )
(RULES 
        app(not,app(not,x)) -> x
        app(not,app(app(or,x),y)) -> app(app(and,app(not,x)),app(not,y))
        app(not,app(app(and,x),y)) -> app(app(or,app(not,x)),app(not,y))
        app(app(and,x),app(app(or,y),z)) -> app(app(or,app(app(and,x),y)),app(app(and,x),z))
        app(app(and,app(app(or,y),z)),x) -> app(app(or,app(app(and,x),y)),app(app(and,x),z))
        app(app(map,f),nil) -> nil
        app(app(map,f),app(app(cons,x),xs)) -> app(app(cons,app(f,x)),app(app(map,f),xs))
        app(app(filter,f),nil) -> nil
        app(app(filter,f),app(app(cons,x),xs)) -> app(app(app(app(filter2,app(f,x)),f),x),xs)
        app(app(app(app(filter2,true),f),x),xs) -> app(app(cons,x),app(app(filter,f),xs))
        app(app(app(app(filter2,false),f),x),xs) -> app(app(filter,f),xs)
        
)